Recent content by adam199

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    Apparent weight of a pilot in a loop

    I solved it by using the apparent weights as the normal reactions at each point and using that to find the velocities and accelerations needed to solve the problem.
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    Apparent weight of a pilot in a loop

    Here's a picture: Edit: Here's a description of the problem in case the picture isn't clear. A 54-kg pilot flies a jet trainer in a half vertical loop of 1200-m radius so that the speed of the trainer decreases at a constant rate. Knowing that the pilot’s apparent weights at Points A and C...
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    Beams subject to distributed load/centroids

    Actually, the formula comes out to 200a^2-400a+3200-4By=0, I made an error adding up the a^2's. Still stumped on how to determine the value for a that would bring a minimum reaction at B. I tried manipulating the force and moment equations together to come up with a, but there's something I'm...
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    Beams subject to distributed load/centroids

    Sure. Ma equals the moment of area cross the area for each triangle (at point A). So, for the first triangle on the left side, I got an area of .5(1800)a=900a (area of a triangle), and x-distance of the centroid of the triangle, which is 1/3 the height of the triangle, or a/3 in terms of...
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    Beams subject to distributed load/centroids

    Picture of the problem: Relevant equations are the ones used to find the reactions at the supports (moment about points, forces in the x and y) and the ones used to determine the centroid. I'm having a hard time finding a. I found the moment of area for each triangle, with the origin at A...
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    Electrostatic potential at a point outside a sphere

    Nevermind, I found the solution.
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    Electrostatic potential at a point outside a sphere

    A conducting spherical shell of radius 11.0 cm is charged to a potential of 5.00*10^4 V. What is the value of the electrostatic potential 5.0 cm outside the surface of the sphere? V=(1/[4*pi*(epsilon naught)])*(Q/r) <-- outside of the shell V=(1/[4*pi*(epsilon naught)])*(3Q/2R) <-- inside...
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    Vector Manipulation (Orthogonal and Parallel Vectors)

    I tried using w=a-tb. I dotted both sides by b, and got 0=(a-tb).b, where t is the only unknown, but I got stuck again. I'm not quite sure how to solve for t at that point.
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    Vector Manipulation (Orthogonal and Parallel Vectors)

    Consider the vectors a=<2,4,-3> and b=<4,-5,6>. Determine vectors v and w such that a=v+w and v is parallel to b while w is orthogonal to b.The dot product of two orthogonal vectors is zero and the cross product of two parallel vectors is zero. A parallel vector is a multiple of the chosen...
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    Finding components of a force vector given length components of vector

    Homework Statement A horseback rider is pulling a log behind him attached via a rope. The force of tension along the rope is 2000 N. What are the vector components of this force given the length components of the rope? The length components are x=1.5m y=2m z=2m. This problem is 3D so there are...
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    Finding an integral using trig. substitution

    Never mind. I eventually figured out how to translate the upper and lower limits of the integrand over to the final versions. Thanks.
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    Finding an integral using trig. substitution

    I substituted sin(t)=x and got: 1/sqrt(1+x^2)dx but when I use the trig. substitution with this integral, I come up with the same thing I had before. I don't think I understand how to do it substituting sin(t)=x and then using a trig. substitution, like Mark said.
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    Finding an integral using trig. substitution

    The integral from 0 to pi/2 of: cos(t)/sqrt(1+sin^2(t)) dt I'm supposed to use trig. substitution to find the solution. I started by using the formula a^2+x^2 to get x=atanx. In this case, sin(t)=(1)tan(θ), and so cos(t)dt=sec^2(θ)dθ and so I substituted this into the equation and got...
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    Proving that force and acceleration are proportional

    I know this is late, but I wanted to thank you for helping me clear things up.